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Extended variational theory of complex rays in heterogeneous Helmholtz problem

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Abstract

In the past years, a numerical technique method called Variational Theory of Complex Rays (VTCR) has been developed for vibration problems in medium frequency. It is a Trefftz Discontinuous Galerkin method which uses plane wave functions as shape functions. However this method is only well developed in homogeneous case. In this paper, VTCR is extended to the heterogeneous Helmholtz problem by creating a new base of shape functions. Numerical examples give a scope of the performances of such an extension of VTCR.

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Authors and Affiliations

  1. LMT, ENS Cachan, CNRS, Université Paris-Saclay, 61 Avenue de Président Wilson, 94235, Cachan, France

    Hao Li, Pierre Ladeveze & Hervé Riou

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  1. Hao Li
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  2. Pierre Ladeveze
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  3. Hervé Riou
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Correspondence to Hao Li.

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Li, H., Ladeveze, P. & Riou, H. Extended variational theory of complex rays in heterogeneous Helmholtz problem. Comput Mech 59, 909–918 (2017). https://doi.org/10.1007/s00466-017-1385-4

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  • DOI: https://doi.org/10.1007/s00466-017-1385-4

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